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Finding the Fourth Proportional to 7,229.12, 9,978.44 and 4,706.80

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Solution

The fourth proportional to 7,229.12, 9,978.44 and 4,706.80 is: 6,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.12 : 9,978.44 = 4,706.80 : x
  2. Step 2: Convert to fraction form
    7,229.12/9,978.44 = 4,706.80/x
  3. Step 3: Cross multiply
    7,229.12x = 9,978.44 × 4,706.80
  4. Step 4: Simplify right side
    7,229.12x = 46,966,521.39
  5. Step 5: Solve for x
    x = 46,966,521.39/7,229.12
  6. Step 6: Final answer
    x = 6,496.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.